Roger Dr. Cambridge Baker
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Roger Dr. Cambridge Bakermathematics Degrees
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Number Theory
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Measure Theory
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Mathematics
Roger Dr. Cambridge Baker's Degrees
- Masters Mathematics University of Oxford
- Bachelors Mathematics University of Oxford
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(Suggest an Edit or Addition)Roger Dr. Cambridge Baker's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The Difference Between Consecutive Primes, II (2001) (464)
- A multi-phase mathematical programming approach for effective supply chain design (2002) (282)
- Flow Measurement Handbook: Industrial Designs, Operating Principles, Performance, and Applications (2000) (169)
- A framework for designing efficient value chain networks (1999) (148)
- Dirichlet's theorem on diophantine approximation (1978) (147)
- Metric Diophantine Approximation on Manifolds (1976) (143)
- Shifted primes without large prime factors (1998) (137)
- Coriolis flowmeters: a review of developments over the past 20 years, and an assessment of the state of the art and likely future directions (2014) (137)
- The di erence between consecutive primes (1996) (128)
- THE THEORY OF THE RIEMANN ZETA‐FUNCTION (2nd edition) (Oxford Science Publications) (1988) (126)
- Diophantine Approximation by Prime Numbers (1982) (82)
- Metric Number Theory and the Large Sieve (1981) (67)
- The Brun-Titchmarsh Theorem on average (1996) (64)
- RATIONAL POINTS (2006) (63)
- EXPONENTIAL DIOPHANTINE EQUATIONS (Cambridge Tracts in Mathematics 87) (1987) (59)
- DIVISORS (Cambridge Tracts in Mathematics 90) (1989) (57)
- Diophantine problems in variables restricted to the values 0 and 1 (1980) (57)
- The distribution of square-free numbers (1983) (52)
- Introductory guide to flow measurement (1989) (52)
- Investigations into the formation and characterization of microemulsions. II. Light scattering conductivity and viscosity studies of microemulsions (1984) (50)
- Further Studies of the Accuracy of Clamp-on Transit-Time Ultrasonic Flowmeters for Liquids (2009) (43)
- Coriolis flowmeters: industrial practice and published information (1994) (40)
- Primes of the Form [nc] (1995) (38)
- THE SQUARE-FREE DIVISOR PROBLEM II (1996) (36)
- A ternary Diophantine inequality over primes (2014) (36)
- Turbine flowmeters: II. Theoretical and experimental published information (1993) (34)
- Exponential Sums Formed with the Möbius Function (1991) (33)
- Piatetski-Shapiro sequences (2012) (30)
- Flow Measurement Handbook: Conferences (2000) (29)
- Kloosterman sums with prime variable (2012) (29)
- Cubic diophantine inequalities (1982) (29)
- An Advanced Numerical Model for Single Straight Tube Coriolis Flowmeters (2006) (27)
- Diagonal cubic equations. II (1989) (26)
- Sums of two relatively prime cubes (2007) (25)
- Some applications of the double large sieve (2013) (23)
- Sieve Methods, Exponential Sums, and their Applications in Number Theory: The Exceptional Set for Goldbach's Problem in Short Intervals (1997) (22)
- Investigations into the formation and characterization of microemulsions. I. Phase diagrams of the ternary system water—sodium alkyl benzene sulfonate—hexanol and the quaternary system water—xylene—sodium alkyl benzene sulfonate—hexanol (1984) (22)
- Oriented high Tc superconductive layers on silver by devitrification of glasses formed in the Bi‐Sr‐Ca‐Cu oxide system (1989) (21)
- Weyl Sums and Diophantine Approximation (1982) (20)
- Oscillations of Quadratic L-Functions (1990) (20)
- In situ calibration (2013) (20)
- REPRESENTATIONS OF INTEGERS AS SUMS OF SQUARES (1986) (20)
- Analysis of the performance of three large-electrode electromagnetic flowmeters (1979) (19)
- Electromagnetic flowmeters for fast reactors (1977) (19)
- Flow Measurement Handbook: Contents (2000) (19)
- RIEMANN SUMS AND LEBESGUE INTEGRALS (1976) (19)
- The effects of manufacturing methods on the precision of insertion and in-line thermal mass flowmeters (2001) (17)
- Gaps between Primes in Beatty Sequences (2014) (17)
- On approximation with algebraic numbers of bounded degree (1976) (17)
- Studies of the Accuracy of Clamp-on Transit Time Ultrasonic Flowmeters (2008) (17)
- On the distribution of ap k modulo one (1991) (16)
- The greatest prime factor of the integers in an interval (1986) (16)
- Small solutions of congruences (1983) (16)
- Piatetski-Shapiro primes from almost primes (2014) (16)
- Manufacturing variation of the measuring tube in a Coriolis flowmeter (2003) (16)
- On pairs of additive cubic equations. (1988) (15)
- On the potential distribution resulting from flow across a magnetic field projecting from a plane wall (1968) (15)
- Measurement of liquid film thickness by optical fluorescence and its application to an oscillating piston positive displacement flowmeter (2011) (15)
- Numbers with a large prime factor (1995) (14)
- An Historical and Neo-Institutional Analysis of Institutions Involved in International Accounting Convergence (2010) (14)
- CHARACTER SUMS WITH PIATETSKI-SHAPIRO SEQUENCES (2015) (13)
- Turbine and related flowmeters: I. Industrial practice (1991) (13)
- Some Diophantine equations and inequalities with primes (2020) (13)
- Singular n-tuples and Hausdorff dimension. II (1977) (13)
- On the concept of virtual current as a means to enhance verification of electromagnetic flowmeters (2011) (13)
- Further investigation into a water flow rig related to calibration (2010) (12)
- On the ability to dry calibrate an electromagnetic flowmeter (1986) (11)
- Entire Functions and Uniform Distribution Modulo 1 (1984) (11)
- Computation and Experimental Results of Wear in a Slurry Pump Impeller (1986) (11)
- The impact of component variation in the manufacturing process on variable area (VA) flowmeter performance (2004) (11)
- Primes of the form [cp] (1996) (10)
- The three primes theorem with almost equal summands (1998) (10)
- Observations on the design and development of a water flow rig related to calibration in the manufacturing process (2006) (10)
- Sprindžuk's theorem and Hausdorff dimension (1976) (10)
- RESEARCH NOTES: Effects of non-uniform conductivity fluids in electromagnetic flowmeters (1970) (10)
- Bounded gaps between primes with a given primitive root, II (2015) (10)
- Positive-displacement meters for liquids (1985) (9)
- An Introductory Guide to Industrial Flow (1996) (9)
- Response of Bulk Flowmeters to Multiphase Flows (1991) (9)
- On Irregularities of Distribution II (1999) (9)
- A review of the impact of component variation in the manufacturing process on variable area (VA) flowmeter performance (2001) (9)
- Integrating electromagnetic flowmeter for high magnetic Reynolds numbers (1982) (8)
- Primes in arithmetic progressions to spaced moduli.III (2016) (8)
- Case study of the electrical hardware and software for a flowmeter calibration facility (2013) (8)
- Numerical analysis of the electromagnetic flowmeter (1973) (8)
- Limit points and long gaps between primes (2015) (8)
- Small fractional parts of quadratic forms (1982) (8)
- On Irregularities of Distribution (1978) (7)
- Singular n-tuples and Hausdorff dimension (1977) (7)
- Diophantine inequalities with mixed powers (1984) (7)
- Comparison of the effect of a distorted profile on electromagnetic, ultrasonic and differential pressure flowmeters. (1978) (7)
- Small fractional parts of polynomials (2016) (7)
- Induction flow-measurement theory for poorly conducting fluids (1978) (7)
- FRACTIONAL PARTS OF SEVERAL POLYNOMIALS (1977) (7)
- Theoretical analysis of the oscillating circular piston positive displacement flowmeter: I – Modelling the forces acting on the piston (2017) (7)
- The performance of electromagnetic flowmeters with magnetic slurries (1978) (7)
- Maximum Growth Rate of Rayleigh-Tayfor Instabilities due to an Electromagnetic Force (1965) (7)
- Experimental investigation of an oscillating circular piston positive displacement flowmeter: II – Leakage flows and wear tests (2014) (7)
- Tests on turbine, vortex and electromagnetic flowmeters in 2-phase air-water upward flow (1983) (7)
- Experimental investigation of an oscillating circular piston positive displacement flowmeter: I – Piston movement and pressure losses (2014) (7)
- Optimised noncontact electromagnetic flowmeter (1985) (6)
- Small fractional parts of quadratic and additive forms (1981) (6)
- Sequences that omit a box (modulo 1) (2011) (6)
- Sums of cubes of square-free numbers (1991) (6)
- THE INTERSECTION OF PIATETSKI-SHAPIRO SEQUENCES (2014) (6)
- A diophantine problem on groups. III (1970) (6)
- Primitive lattice points in planar domains (2010) (6)
- Fractional parts of polynomials over the primes (2016) (6)
- A diophantine problem on groups. I (1970) (5)
- Dyadic methods in the measure theory of numbers (1976) (5)
- Bounded intervals containing many primes (2015) (5)
- Additive energy and a large sieve inequality for sparse sequences (2021) (5)
- Slowly growing sequences and discrepancy modulo one (1973) (5)
- On the fractional parts of certain additive forms (1976) (5)
- PRIMES IN ARITHMETIC PROGRESSIONS TO SPACED MODULI. II (2014) (5)
- On the electromagnetic vortex probe (1971) (5)
- Simultaneous diophantine approximation with square-free numbers (1993) (5)
- The values of a quadratic form at square-free points (2006) (5)
- Fractional parts of several polynomials—II (1978) (5)
- Diagonal Cubic Equations III (1989) (5)
- Recent results on fractional parts of polynomials (1979) (5)
- Bounds on the Norms of Maximal Operators on Weyl Sums (2021) (4)
- A theorem of Bombieri–Vinogradov type with few exceptional moduli (2019) (4)
- Computational Method to Assess Concentration of Water in Crude Oil Downstream of a Mixing Section (1988) (4)
- Sequences with bounded logarithmic discrepancy (1990) (4)
- On sparsely totient numbers (1991) (4)
- On Wiener's Theorem on Fourier‐Stieltjes Coefficients and the Gaussian Law (1972) (4)
- Khinchin's conjecture and Marstrand's theorem (1974) (4)
- Linearity of motion-induced-magnetic-field flowmeter (1970) (4)
- Kloosterman sums and Maass forms (2003) (4)
- Some non-linear diophantine approximations (1976) (4)
- Gaps of Smallest Possible Order between Primes in an Arithmetic Progression (2014) (4)
- Sparser variance for primes in arithmetic progression (2017) (4)
- Electronic verification of flowmeters in the water industry (2006) (4)
- $$L^p$$ maximal estimates for quadratic Weyl sums (2021) (4)
- Small remainder of a vector to suitable modulus (1996) (3)
- Optimisation of conventional electromagnetic flowmeters. (1979) (3)
- The Sequence $x/n$ and its Subsequences (1996) (3)
- Study of the effect of beam spreading on systematic Doppler flow measurement errors (2010) (3)
- Computation of pulsed field electromagnetic flowmeter response to profile change (1983) (3)
- Sums of cubes of square-free numbers II (1991) (3)
- Unbalanced quadratic residues and non-residues (1985) (3)
- Fractional parts of polynomials over the primes. II (2017) (3)
- Sums of two relatively prime k-th powers (2010) (3)
- On sums of two squarefull numbers (1994) (3)
- On a metrical theorem of Weyl (1975) (2)
- Square-free points on ellipsoids (1988) (2)
- Pairs of quadratic forms modulo one (1993) (2)
- Numbers in a given set with (or without) a large prime factor (2009) (2)
- Checking Trace Nitrate in Water and Soil Using an Amateur Scientist's Measurement Guide (1995) (2)
- On numbers with many rational approximations (1979) (2)
- Large Weyl sums and Hausdorff dimension (2021) (2)
- Clusters of primes with square-free translates (2015) (2)
- Discrepancy modulo one and capacity of sets (1971) (2)
- A time marching, finite area calculation of general quasi-one-dimensional flows (1979) (2)
- Through Flow Analysis of Viscous and Turbulent Flows. (1978) (2)
- LINEAR ALGEBRA WITH APPLICATIONS (2014) (2)
- Pairs of additive quadratic forms modulo one (1992) (2)
- The Effect on Electromagnetic Flowmeters of a Change in Fluid (1985) (2)
- Siegel's lemma is sharp for almost all linear systems (2019) (2)
- On a Theorem of Erdös and Taylor (1972) (2)
- Small fractional parts of the sequence $\alpha n^k$. (1981) (2)
- Phase-interface phenomena in multiphase flow (1991) (1)
- The Brun–Titchmarsh Theorem (1996) (1)
- Flow Measurement Handbook: Ultrasonic Flowmeters (2000) (1)
- The zeros of a quadratic form at square-free points (2010) (1)
- Verification for electromagnetic flowmeters - its current state and its potential (2004) (1)
- Flowmeter manufacture: some observations on variation and robustness (2002) (1)
- Introductory guide to flow measurement, ASME Edition (2004) (1)
- Some Metrical Theorems in Strong Uniform Distribution (1975) (1)
- THE FRACTIONAL PART OF an k FOR SQUARE-FREE n (1991) (1)
- Flow Measurement Handbook: Electromagnetic Flowmeters (2000) (1)
- Tests on flux distortion flowmeters using an analogue rig to simulate flow with a boundary layer (1977) (1)
- Weyl ’ s theorem in the measure theory of numbers (2010) (1)
- Flow Measurement Handbook: Fluid Mechanics Essentials (2000) (1)
- Mass flow measurement—Direct and indirect (1989) (1)
- Special issue of the journal focusing on flowmeter manufacture: Guest joint editors Roger C. Baker and Michael J. Gregory (2001) (1)
- Small solutions of quadratic and quartic congruences (1980) (1)
- The Homemade Microscope. (1991) (1)
- Rethinking dry calibration (2004) (1)
- Exceptional Sets in Uniform Distribution (1979) (1)
- The singular value decomposition (2014) (1)
- An Introduction to Riemann’s Life, His Mathematics, and His Work on the Zeta Function (2017) (1)
- Flow in Centrifugal Compressor Impellers: A Hub-to-Shroud Solution (1980) (1)
- Internal Fluid Flow: The Fluid Dynamics of Flow in Pipes and Ducts. By A. J. Ward-Smith. Oxford University press, 1980. 566 pp. £36.00. (1981) (1)
- Concerning some recent communications on induced-voltage electromagnetic flow measurement (1974) (1)
- On the fractional parts of αn2 and βn (1981) (1)
- Indefinite Quadratic Forms (1987) (1)
- Small solutions of congruences. II (2000) (1)
- Theoretical analysis of the oscillating circular piston positive displacement flowmeter: II numerical solution of equations of motion and comparison with experimental data (2018) (1)
- Journées Arithmétiques 1980: On the fractional parts of αn3, βn2 and ʏn (1982) (1)
- SchÄffer’s Determinant Argument (2008) (1)
- A sensitive and inexpensive susceptometer for the study of high‐temperature superconductors (1989) (0)
- A Study of Flow Downstream of a T-Junction and the Implications of its Effect (In Crude Oil Flow) on Water Droplet Size and Distribution (1993) (0)
- Diophantine approximation with smooth numbers (2020) (0)
- On the concept of virtual current as a means to enhance verification of electromagnetic flowmeters (2011) (0)
- Fluid flow measurement: R.A. Furness Longman (in association with the Institute of Measurement and Control), 1989, ISBN 0-582-03165-6, 150 pages, £40.00 (1990) (0)
- Magnetic Resonance Flowmeters (2016) (0)
- East of England manufacturing: a consultation and implications for policy (2001) (0)
- Flow Measurement Handbook: Coriolis Flowmeters (2000) (0)
- Hot Wire Measurements at the Exit of a Centrifugal Compressor Impeller (1979) (0)
- Flow Measurement Handbook: Thermal Flowmeters (2000) (0)
- Flow Measurement Handbook: Modern Control Systems (2000) (0)
- Recent and likely developments in flow measurement: a literature review (2002) (0)
- Multiphase Flowmeters 508 (2016) (0)
- Flow Measurement Handbook: Critical Flow Venturi Nozzle (2000) (0)
- Flow Measurement Handbook: Vortex-Shedding, Swirl, and Fluidic Flowmeters (2000) (0)
- Inner product spaces (2014) (0)
- Galois Distribution on Tori—A Refinement, Examples, and Applications (2022) (0)
- Erratum for “Editorial” (2001) (0)
- Flow Measurement Handbook: Angular Momentum Devices (2000) (0)
- Similarity and determinants (2014) (0)
- Flow Measurement Handbook: References (2000) (0)
- On the distribution modulo 1 of the sequence $αn^3 + βn^2 + γn$ (1981) (0)
- Bridge building - academia to industry (1987) (0)
- Editorial (1991) (0)
- Flow Measurement Handbook: Introduction (2000) (0)
- Verification and In Situ Methods for Checking Calibration (2016) (0)
- Flow Measurement Handbook: Bibliography (2000) (0)
- REPRESENTING AN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF TWO SMALL FACTORS (2020) (0)
- Letter: Specialty boards for specialists. (1975) (0)
- Flow Measurement Handbook: Venturi Meter and Standard Nozzles (2000) (0)
- Through Flow Analysis of Centrifugal Compressors (1978) (0)
- Meeting the skills needs of small manufacturing companies in the Cambridgeshire area (2004) (0)
- Flow Measurement Handbook: Probes for Local Velocity Measurement in Liquids and Gases (2000) (0)
- Flow Measurement Handbook: Other Momentum-Sensing Meters (2000) (0)
- Studies oftheAccuracy ofClamp-on Transit TimeUltrasonic Flowmeters (2008) (0)
- Photographs in charts. (1980) (0)
- A method for testing a mass flowmeter (2005) (0)
- Bounded intervals containing many primes (2016) (0)
- Flow Measurement Handbook: Mass Flow Measurement Using Multiple Sensors for Single- and Multiphase Flows (2000) (0)
- Smooth numbers in Beatty sequences (2021) (0)
- Remote Data Access Systems (2016) (0)
- Characteristic polynomial and eigenvalues of a matrix (2014) (0)
- Flow Measurement Handbook: Nomenclature (2000) (0)
- Flow Measurement Handbook: Specification, Selection, and Audit (2000) (0)
- An Evaluation of Melt Techniques for the Orientation of High-Tc Superconductors (1993) (0)
- Piatetski-Shapiro primes from almost primes (2013) (0)
- Editorial (1992) (0)
- Flow Measurement Handbook: Turbine and Related Flowmeters (2000) (0)
- Flow Measurement Handbook: Orifice Plate Meters (2000) (0)
- Acoustic and Sonar Flowmeters (2016) (0)
- Flow Measurement — The Market Opportunity (1991) (0)
- Proceedings of the North Sea flow measurement Workshop 1991: Norwegian Society of Chartered Engineers, 1992, NOK 500 (2 volumes) (1993) (0)
- Numbers, vectors and fields (2014) (0)
- Flow Measurement Handbook: Future Developments (2000) (0)
- Technology transfer from the US DOE/AECL cooperative project (1988) (0)
- Unitary, orthogonal, Hermitian and symmetric matrices (2014) (0)
- LECTURES ON SIEVE METHODS AND PRIME NUMBER THEORY (Tata Institute Lectures on Mathematics) (1985) (0)
- Flow Measurement Handbook: Preface (2000) (0)
- AUTOMOTIVE TAPE RECORDER. VOLUME 4. INSTALLATION, MAINTENANCE AND REMOVAL (1973) (0)
- Entire functions and discrepancy (1986) (0)
- Flow Measurement Handbook: Positive Displacement Flowmeters (2000) (0)
- Flow Measurement Handbook: A Selection of International Standards (2000) (0)
- Mass Flow Measurement Using Multiple Sensors for Single-Phase Flows (2016) (0)
- Flow Measurement Handbook: Calibration (2000) (0)
- Flow Measurement Handbook: Some Reflections on Flowmeter Manufacture, Production, and Markets (2000) (0)
- Investigations into the Mechanism of Formation of Water-in-Xylene Microemulsions Using Interfacial Tension Measurements (1986) (0)
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